Solve Vertical Subtraction: 76 minus 57 Step-by-Step

Question

amp;76amp;amp;57amp;776amp; \begin{aligned} &76 \\ -& \\ &57 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time we calculate subtraction of 2 digits, and then we substitute
00:06 6 is less than 7
00:09 Therefore we subtract 1 from the tens, and add this sum to the ones
00:14 Meaning now instead of 6 we will have 16
00:17 Subtract the ones from the ones plus ten
00:20 Substitute in the ones place
00:24 Subtract tens from tens, and substitute in the tens place
00:28 And this is the solution to the question

Step-by-Step Solution

To solve this vertical subtraction problem 765776 - 57, let's go through the steps:

  • Step 1: Align the numbers by place value.
    The problem is set up vertically as follows: 7657 \begin{aligned} & 76 \\ - & 57 \\ \end{aligned}
  • Step 2: Start with the units digit.
    From the 6 in the units place of 76, subtract the 7 in the units place of 57:
    Since 6 is less than 7, we need to borrow 1 ten from the tens place of 76.
    The tens digit of 76 changes from 7 to 6 (since we borrowed one ten), and the units digit becomes 16.
  • Step 3: Subtract the units digit.
    Subtract 7 from 16, resulting in 9.
    This is written in the units place of the answer.
  • Step 4: Subtract the tens digit.
    In the tens column, subtract 5 (from 57) from 6 (the new tens of 76 after borrowing), resulting in 1.

The final calculation looks like this:

765719 \begin{aligned} & 76 \\ - & 57 \\ \hline & 19 \\ \end{aligned}

Therefore, the result of the subtraction is 1919.

Answer

19